Problema Solution

dave has 167 prizes to give away. 43 are broken. If he gives away the remaining prizes over the next seven days, and he gives away the same amount each day, how many prizes are left over?

Answer provided by our tutors

let


x = the amount of prizes that Dave gives per day


x is integer


43 + 7x <= 167


by solving the inequality we find


x <= 17.8


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if Dave gives 17 prizes per day the number of left over prizes is:


167 - (43 + 7*17) = 167 - 162 = 5